Simple closed-form property expressions of a metafluid composed of a hexagonal array of transversely isotropic elastic fibres embedded in an ideal fluid

[EN] A hexagonal array of parallel circular cylinders embedded in a matrix is considered. The fibers are filled with a transversely isotropic (TI) elastic material whereas the matrix material is an ideal fluid. The asymptotic homogenization method, applied to a similar problem where the matrix is also a TI elastic material, produces formulae for the effective TI elastic composite. By a limit procedure when the shear modulii of matrix tend to zero, the formulae yield very simple expressions for the effective composite for the above problem, namely, it is a TI metafluid. The particular case of isotropic fibres leads to an isotropic metafluid. (C) 2019 Elsevier Ltd. All rights reserved.